what is the greatest common factor of 35+14

Answers

Answer 1

Answer:

7

Step-by-step explanation:

When you multiply two numbers together to get a product, those two numbers are considered factors of the product. There are certain operations in math that require comparing two or more numbers and identifying the largest factor they have in common. This is called the greatest common factor (GCF).

Answer 2

Answer:

The first step to find the gcf of 14 and 35 is to list the factors of each number. The factors of 14 are 1, 2, 7 and 14. The factors of 35 are 1, 5, 7 and 35. So, the Greatest Common Factor for these numbers is 7 because it divides all them without a remainder.

so 7 is the greatest common factor of 35+14

The factors of 14 are 1,2,7,14; The factors of 35 are 1,5,7,35.

"how may I apply the distributive property to this expression."

 

By factoring out 7, the expression 35+14 = 7(5 + 2) and so you have an alternative way of computing the sum.

49 = 7(7).  


Related Questions

The NBA regulations require that the court be 132 feet long. If 1 meter = 3.3 feet, how long is the basketball court in meters?

Answers

132 feet divided by 3.3 feet = 40 meters

Answer : 40 meters
The answer is 40 meters ,you divide 132ft by 3.3ft which is 1 meter and you’ll get 40 meters .

Gurl this is 6th grade math and I’m still dumb Enough to not know it

Answers

Answer:

false, false, true

Step-by-step explanation:

0 times anything is always 0. 7 with an exponent of 3 is never 7*3, it's 7*7*7. for the last one, 2*2*2*2 is 16 and so is 4*4. lol im pretty dumb too tbh

Your school district cancels school when at least 3 inches of snow accumulate on the ground each hour. Snow is currently accumulating at a rate of 3/2 inches per hour. Select an inequality that represents the extra snow accumulation s (in inches per hour) needed to cancel school.

Answers

Answer:

x > 2

Step-by-step explanation:

x is the hours of accumulation.

3/2 *2 = 3

Determine which of the following are solutions to the equation.
2y + x = 4
O (-2, 3)
O (5, -6)
O (3,-2)
O (4, -3)

Answers

Answer:

-2,3

Step-by-step explanation:

the x being -2 would be the x answer while 3 would be the y so it eould go like this

2(3) + -2=4

6+-2=4

3x - 2y + 5z = 2
4x - 7y - z = 19
5x - 6y + 4z =13

Answers

(x=1) (y= -2) (z= -1)

I need help with 14. you have to simplify the expression and then your answer will reveal a letter on the right hand side​

Answers

Answer:14 is H

Step-by-step explanation:

Answer:

3x+21 (H)

Step-by-step explanation:

9-3(3x-4)+12x

9-(9x-12)+12x

9-9x+12+12x

(9+12)+(-9x+12x)

21+3x or 3x+21

A performer expects to sell 10,000 tickets for
an upcoming concert. They want to make a
total of $721,000 in sales from the these
tickets. Assuming that all tickets have the same
price, what is the price for one ticket?

Answers

72.1
Brainliest please I’m tryna rank up

The discount allowed in a store for a cash payment is 6%. Find what a buyer pays for an article whose marked prices $567.50

Answers

Answer:

A buyer would have to pay $533.45 for an article whose marked prices $567.50.

Step-by-step explanation:

Marked price = $567.50

Discount=6%

Price after discount = 567.50 - 6% of 567.50

                                  [tex]=\:567.50\:-\frac{6}{100}\:\times \:567.50[/tex]

                                   [tex]=567.5-34.05[/tex]

                                    [tex]=533.45[/tex] $

Therefore, a buyer would have to pay $533.45 for an article whose marked prices $567.50.

This figure is made from a part of a square and a part of a circle.
What is the perimeter of this figure, to the nearest unit? ______ units

Answers

Answer:

38 units (rounded off to the nearest unit)

Step-by-step explanation:

Find the perimeter of the circle part, if the circle section is a 90degree slice, then it is a quarter of the full circle's circumference[tex]Circumference=pi\times 2radius\\C=\pi \times 2(5)\\C=10\pi[/tex] now find a quarter of this then[tex]SectionCircumference=\frac{5}{2}\pi[/tex]  Then find the perimeter of the whole thing by adding the side [tex]P=10+10+5+5+\frac{5}{2}\pi =37.85[/tex]

The perimeter of the given figure will be 38 units.

What is perimeter?

Its the sum of length of the sides used to made the given figure.

We are given that Measures of three linear sides as 5, 10, 10, 5 units.

Radius of the circular part = 5 units

Since Perimeter of a polygon = Measure of the circumference of the polygon

The Perimeter of the figure = measure of the three straight lines + measure of the circumference of the quarter circle

Thus Measure of linear sides = 5 + 10 + 10 + 5 = 30 units

Circumference of the quarter circle =  2πr

=  2π(5)

= 7.85 units

Perimeter of the figure = 30 + 7.85

                                     = 37.85

                                     ≈ 38 units

Therefore, the perimeter will be 38 units.

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Now that you have had a chance to read excerpts from Anne Frank’s diary and the play version of it, which do you prefer? Why?

Answers

Answer:

Reading it because you could really imagine and get the feel of it inside your head and almost feel like you are here

Step-by-step explanation:

I would prefer the play version of excerpts from Anne Frank's Diary over reading excerpts.

Who is Anne frank?

Annelies Marie "Anne" Frank was a German-born Jewish girl who kept a diary in which she documented life in hiding under Nazi persecution. She is a celebrated diarist who described everyday life from her family hiding place in an Amsterdam attic.

Given are excerpts from Anne Frank's diary and play version.

I would prefer the play version of excerpts from Anne Frank's Diary as watching a play is better than reading because the characters come to life, as does the way they relate to and interact with each other.

Therefore, i would prefer the play version of excerpts from Anne Frank's Diary over reading excerpts.

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The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how many people there are in total.

Answers

answer is 104

Step-by-step explanation:

let the no. of girls =x

then no. of boys=x+52

A.T.Q

x+52/x=3/1

x=26

hence girls =26

and boys =78

total students =26+78=104

Answer:the ratio of boys to girls now is 21:17 now you just at 21 and 17 which is 38 then that’s the answer.

Step-by-step explanation:

What’s that answer for
9xr -8
80

Answers

144+ 18x=360

..............................

Rewrite x^2+16x-36 in factored form

Answers

Answer: (x-2)(x+18)


Two numbers that multiply to -36 and also add to 16 are (-2) and (18).

Find the value of that makes m ll n.

Answers

Answer: x = 108

Step-by-step explanation: In this problem, we're given a diagram and

we're asked to find the value of x that would make m ll n.

We can see that the angles that are marked in the diagram

are same-side interior angles since they lie on the same side

of the transversal and they lie on the interior of lines m and n.

Therefore, in order for line m to be parallel to line n,

these angles must be supplementary.

In other words, they must add to 180 degrees.

So we can setup the equation x + 72 = 180.

Subtracting 72 from both sides gives us x = 108.

So the value of x that would make line m ll n is 108.

Points X and Z are on a number line, and point Y partitions

line XZ into two parts so that the ratio of the length of line

segment XY to the length of line segment YZ is 5:7. The

coordinate of X is 0.4, and the coordinate of Y is 5.8. What

is the coordinate of Z?

Answers

Answer:

The coordinate of [tex]Z[/tex] is 13.36.

Step-by-step explanation:

According to the statement, we have the following information:

[tex]\frac{XY}{XZ} = \frac{5}{12}[/tex] (1)

[tex]\frac{YZ}{XZ} = \frac{7}{12}[/tex] (2)

[tex]X = 0.4[/tex] (3)

[tex]Y = 5.8[/tex] (4)

From (2), we have the following expression:

[tex]YZ = \frac{7}{12}\cdot XZ[/tex]

[tex]Y-Z =\frac{7}{12}\cdot (X-Z)[/tex]

[tex]Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z[/tex]

[tex]Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z[/tex]

[tex]\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X[/tex]

[tex]5\cdot Z = 12\cdot Y-7\cdot X[/tex]

[tex]Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X[/tex] (5)

If we know that [tex]Y = 5.8[/tex] and [tex]X = 0.4[/tex], then the coordinate of [tex]Z[/tex] is:

[tex]Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)[/tex]

[tex]Z = 13.36[/tex]

The coordinate of [tex]Z[/tex] is 13.36.

how many terms of the AP: 24,21,18 must be taken so that thier sum is 78?

Answers

First term, a = 24
common difference, d = 21-24 = -3
let the number of terms to get sum 78 is n.

S_n=78\\ \\ \Rightarrow \frac{n}{2}(2a+(n-1)d)=78\\ \\ \Rightarrow \frac{n}{2}(2 \times 24+(n-1)(-3))=78\\ \\ \Rightarrow n(48-3n+3)=78 \times 2\\ \\ \Rightarrow -3n^2+51n-156=0\\ \\ \Rightarrow 3n^2-51n+156=0

Solving the quadratic equation, we get n=4 and n=13.
So you can take either 4 terms or 13 terms to get the sum 78.

GIVING BRAINLYYY write the equation of this line

Answers

the equation would be y= 5/2x-2

Abiodun and Taiwo share 735 naira between them so that Abiodun gets 75naira than taiwo. Find how much money each get​

Answers

Equations:

A + T = 735 naira

A = T + 95

A + T = 735

A - T = 95

Add and solve for A:

2A = 830

A = 415 naira

T = 735-415 = 320

Abiodun and Taiwo got 415 & 320 naira , respectively.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

Abiodun and Taiwo share 735 naira between them so that Abiodun gets 75naira than taiwo.

now, we get

A + T = 735 naira

A = T + 95

A + T = 735

A - T = 95

Add and solve for A:

2A = 830

A = 415 naira

T = 735-415 = 320naira

Hence, Abiodun and Taiwo got 415 & 320 naira , respectively.

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Three classes of 26 students each sign up for a field day. Teams can have no more
than 9 students. How many teams are full? How many students are on the last team?

Answers

Answer:

2 teams are full and the last team has 8 members

Step-by-step explanation:

Simple subtraction 26-9=17 so theres one team, then 17 minus 9 is 8 so there is another team so the awnser is 2 and 8/9

Two friends went to Best Buy and bought Pokemon cards and baseball cards. Each Pokemon card was the same price and each baseball card was the same price. The first friend paid $12 for 14 pokemon cards and 5 baseball cards. The second friend paid $24.80 for 10 pokemon cards and 15 baseball cards. What was the cost of each baseball card?


A.

$1.42


B.

$0.35


C.

$ 1.15


D.

$0.63

Answers

A, $1.42. i found this answer plugging in 1.42 and seeing if it would work or not

I need help, fast- please-

Answers

Answer:

since she subtracted 15 5 time a total of 5 rafts are needed

Step-by-step explanation:

The slope of the line that passes through the points (9, 11) and (3,6) is what

Answers

Formula for slope (m) is:

(y2 - y1) / (x2 - x1)

Our points are (9, 11) and (3, 6).

Therefore we can determine:

y2 = 6
y1 = 11
x2 = 3
x1 = 9

Substitute these into the formula:

(y2 - y1) / (x2 - x1)

(6 - 11) / (3 - 9)

Solve:

(6 - 11) / (3 - 9)

-5 / -6

Reduce the fraction with -1:

Slope (m) = 5 / 6

The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The two points are (9, 11) and (3, 6).

The equation of the line that passes through (9, 11) and (3, 6) will be given as,

(y - 6) = [(11 - 6) / (9 - 3)](x - 3)

y - 6 = (5/6)(x - 3)

y - 6 = (5/6)x - 5/2

y = (5/6)x + 7/2

The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.

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Total element of a set for Consideration as called____
(a) Sub-set
(b) Intersection
(c) Universal set
(d) Disjoint set​

Answers

Answer:

Universal set

Step-by-step explanation:

A universal set is a set which contains all the elements or objects of other sets, including its own elements. It is usually denoted by the symbol 'U'. Therefore, Set U has all the elements of Set A and Set B. ...

PLEASE HELP ME ASAP!!

Answers

i believe the rate of change is 11 :)
the rate change is 11:)

100 pointsssss!!
what are the pointsss???? Graph the function.

f(x)=−15x+4

Answers

Answer:

Step-by-step explanation:

I'd suggest you find the two intercepts and draw a line through them.

y-intercept:  value of y when x = 0.  Here, f(0) = -15(0) + 4, so the y intercept is the point (0, 4).

x-intercept:  value of x when y = 0.  Letting f(x) = y = 0, we get

0 = -15x + 4, so that 15x = 4, and x = 4/15.  The x-intercept is (4/15, 0).

Plot the points (0, 4) and (4/15, 0) and draw a line thru them.

your graph would look like this :)

how to solve this pls I need answer fast​

Answers

There are markings given in the diagram.

(Angle) ∠A and ∠D are =

(Side) AC and DB are =

(Side) In a trapezium, the opposite sides are equivalent, meaning AB and DC are =

So you got side, angle, and another side.

You can form the SAS (Side-Angle-Side) similarity theorem.

You can also use the reasons above to make a Statement-Proof table

On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, , to the number of hours flying, , is . How long will it take the airplane to travel 800 miles?

Answers

Complete question :

On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?

Answer:

1.6 hours

Step-by-step explanation:

Given the function :

Time t taken for flying distance d is given by:

t = 1/500 * d

Tine taken to fly 800 miles;

d = 800 miles

t = 1/500 * (800)

t = 800 / 500

t = 1.6

Hence, time t = 1.6 hours

What is the y-intercept in the equation: y = 5x + 7

Answers

Answer:

the y-intercept is 7

Step-by-step explanation:

y=mx+b

m=slope

b= y-intercept

Felicity the clown inflates 2 balloons in 5 minutes. Grumpy the clown ties 5 balloon animals in 12 minutes they both work at a steady rate. If Felicity maintained this constant rate, how many balloons could she inflate in one hour? If Grumpy maintained this constant rate, how many balloon animals could he tie in one hour?

Answers

Answer:

24 Balloons for Felicity

25 balloons for Grumpy

Step-by-step explanation:

Graph y = 2/5x

Graph y = 5/12x

Graph x = 60

Find intersects

(60,24)

(60,25)

Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4?

Answers

Step-by-step explanation:

let the equation be y - y1 = 3/4(x - x1)

sub (4, 1/3):

y - 1/3 = 3/4(x - 4)

therefore answer is option 2.

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)[/tex]

Step-by-step explanation:

To see which equations have the slope of 3/4, we just need to focus on the right half of the equations to see what the multiplier of x is.

Equations 1 and 3 can be eliminated because they have a slope of [tex]\frac{1}{3}[/tex] and 4 respectively.

Now we can decide between 2 and 4 by plugging in the point [tex](4,\frac{1}{3})[/tex] to see which works properly.

Simplify equation 2

[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)\\\\y-\frac{1}{3} =\frac{3}{4}x-3\\\\y=\frac{3}{4}x-\frac{8}{3}[/tex]

Plug in the point

[tex]\frac{1}{3} =\frac{3}{4}(4)-\frac{8}{3} \\ \\\frac{1}{3} =3-\frac{8}{3} \\\\\frac{1}{3} =\frac{9}{3} -\frac{8}{3} \\\\\frac{1}{3} = \frac{1}{3}[/tex]

This checks out, so equation 2 is your answer.

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